Factoring (GCF and Grouping)
Factor using GCF
81x2-18x
9x(9x-2)
Factor
9x2-16
(3x-4)(3x+4)
Factor
x2+7x+6
(x+6)(x+1)
Describe the transformation of f(x)=x2 represented by g(x)=(x+3)2-4.
The graph of g is a translation 3 units left and 4 units down of the graph of f.
Determine the vertex and axis of symmetry of the function
f(x)=2(x+1)2-3
vertex: (-1, -3)
axis of symmetry: x=-1
Factor using GCF
10x2-70x
10x(x-7)
Factor
4x2-25
(2x-5)(2x+5)
Factor
x2-8x+12
(x-6)(x-2)
Describe the transformation of f(x)=x2 represented by g(x)=2x2-7
The graph of g is a vertical stretch by a factor of 2 and a translation 7 units down of the graph of f.
Determine the vertex and y-intercept of the function
f(x)=-x2-4x-3
vertex: (-2, 1)
y-intercept: (0, -3)
Factor
x2+2x+5x+10
(x+2)(x+5)
Factor
64-x2
(8-x)(8+x)
Factor:
x2+7x-30
(x+10)(x-3)
Describe the transformation of f(x)=x2 represented by
g(x)=1/4x^2
The graph of g is a vertical shrink by a factor of 1/4 of the graph of f.
Determine the vertex, axis of symmetry and y-intercept of the function f(x)=-(x-1)2+1
vertex: (1, 1)
axis of symmetry: x=1
y-intercept: (0,0)
Factor
x3+3x2-2x-6
(x2-2)(x+3)
Factor
49x2-36y2
(7x-6y)(7x+6y)
Factor
2x2+9x+4
(2x+1)(x+4)
Describe the transformation of f(x)=x2 represented by g(x)=-2(x-6)2
The graph of g is a vertical stretch by a factor of 2 with a reflection over the x axis and a translation 6 units right of the graph of f.
Determine the vertex, axis of symmetry, and y-intercept of the function f(x)=4x2-8x+1
vertex: (1, -3)
axis of symmetry: x=1
y-intercept: (0, 1)
Factor
x3-5x2+3x-15
(x2+3)(x-5)
FREE POINTS!!! For you and one other team!
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Factor
3x2+5x-2
(3x-1)(x+2)
Describe the transformation of f(x)=x2 represented by
g(x)=1/2(x+5)^2-3
The graph of g is a vertical shrink by a factor of 1/2 with a translation 5 units left and a translation 3 units down of the graph of f.
FREE POINTS!!! For you and one other team!
hooray!